Find the LCM of 416, 943, 451, 117 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 416, 943, 451, 117. So, keep reading to learn more.
Given numbers are 416,943,451,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,943,451,117 is 38836512.
Find LCM of 416,943,451,117 with Prime Factorization
13 | 416, 943, 451, 117 |
41 | 32, 943, 451, 9 |
32, 23, 11, 9 |
Multiply the prime numbers at the bottom and the left side.
13 x 41 x 32 x 23 x 11 x 9 = 38836512
Therefore, the lowest common multiple of 416,943,451,117 is 38836512.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
416 x 943 x 451 x 117 = 20699860896
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
943 : 1, 23, 41, 943
451 : 1, 11, 41, 451
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,943,451,117, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
943:23x 41
451:11x 41
117:3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 41 = 533
Therefore, the value for common factors is 533.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 20699860896/(1x533)
LCM = 20699860896/533
LCM = 38836512
Thus, we can understand that the LCM of 416,943,451,117 is 38836512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 943, 451, 117?
Answer: LCM of 416, 943, 451, 117 is 38836512.
2. How to calculate the LCM of 416, 943, 451, 117?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 416, 943, 451, 117.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.